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Write a polynomial of least degree with roots 7-7 and 4-4.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______

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Q. Write a polynomial of least degree with roots 7-7 and 4-4.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______
  1. Factorize Root 7-7: Root 7-7 gives us the factor (x(7))(x - (-7)) which simplifies to (x+7)(x + 7).
  2. Factorize Root 4-4: Root 4-4 gives us the factor (x(4))(x - (-4)) which simplifies to (x+4)(x + 4).
  3. Multiply Factors: Now we multiply the factors (x+7)(x + 7) and (x+4)(x + 4) to get the polynomial.
  4. Combine Like Terms: (x+7)(x+4)=x2+4x+7x+28(x + 7)(x + 4) = x^2 + 4x + 7x + 28.
  5. Combine Like Terms: x + 7)(x + 4) = x^2 + 4x + 7x + 28\.Combine like terms to get \$x^2 + 11x + 28.

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